This is first in a series of integrals requiring a trig. identity to simplify it.

    \[\int {\frac{{\sin 2x}}{{\cos x}}} {\rm{ }}dx\]

 

Try integrating this series of integrals which uses a very basic trig identity. Do you know what it is?

  1.     \[\int {\left( {{\rm{ta}}{{\rm{n}}^{\rm{2}}}x + 1} \right)dx} \]

  2.     \[\int {\left( {1 + {{\tan }^2}5\theta } \right)} d\theta \]

  3.     \[\int {\left( {3 + 3{{\tan }^2}2x} \right)dx} \]

 

Try integrating this series of integrals which uses a very basic trig identity. Do you know what it is?

  1.     \[\int {\sin x\cos xdx} \]

  2.     \[\int {5\cos \frac{{3x}}{2}} \sin \frac{{3x}}{2}dx\]